Answer:
To find the number of D's in the school, we can use the given ratio of D's to A's and the number of A's provided.
The ratio of D's to A's is given as 4 to 72. This means that for every 4 D's, there are 72 A's.
We are also given that there are 1080 A's in the school this term.
To find the number of D's, we can set up a proportion using the ratio:
4 D's / 72 A's = X D's / 1080 A's
Cross-multiplying, we get:
4 * 1080 = 72 * X
Simplifying further:
4320 = 72X
Dividing both sides by 72:
X = 4320 / 72
X = 60
Therefore, there were 60 D's in the school.
Step-by-step explanation:
B. One real solution
C. Two imaginary solutions
B: you'll make a profit of $15
C: you'll make a profit of $150
D: you'll suffer a lose if $150
The true statement is that you'll make a profit of $150 which is option C.
Given that,
A share of stock in the Lofty Cheese Company is quoted at 25 1/4.
Suppose you hold 30 shares of that stock, which you bought at 20 1/4.
If you sell your stock at 25 1/4, we have to know if they suffer profit or loss and by what amount.
Cost of the stock which you bought is,
Cost = 30 × 20 1/4
= 30 × 20.25
= 607.5
If you sell your stock at 25 1/4,
Selling price = 30 × 25 1/4
= 30 × 25.25
= 757.5
Difference = 757.5 - 607.5
= 150
Hence you have a profit of $150.
Learn more about Profit here :
#SPJ6
Cross section A is from a plane that is parallel to the base cutting through the prism. Cross section A has an area of 90 units squared.
Cross section B is from a plane that is perpendicular to the base and parallel to the sides of the prism cutting through the prism. Cross section B has an area of 50 units squared.
Cross section C is from a plane that is perpendicular to the base and parallel to the front of the prism cutting through the prism. Cross section C has an area of 45 units squared.
The prism in which the cross sections were taken has a length of
units, width of
units, and a height of
units.
The rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).
What is the area of a rectangle?
A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and congruent (equal in length). The area of a rectangle is defined as the amount of space that is enclosed by its two-dimensional shape, and it can be calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:
Based on the given information, we can determine the dimensions of the rectangular prism as follows:
Cross section A has an area of 90 square units, which is equal to the area of the base of the prism. Since the base of the prism is a rectangle, we can use the formula for the area of a rectangle to find its dimensions:
90 = length x width
Cross section B has an area of 50 square units, which is equal to the area of one of the sides of the prism. Since the sides of the prism are also rectangles, we can use the formula for the area of a rectangle to find its dimensions:
50 = height x width
Cross section C has an area of 45 square units, which is equal to the area of the front of the prism. Since the front of the prism is also a rectangle, we can use the formula for the area of a rectangle to find its dimensions:
45 = length x height
We now have three equations with three unknowns, which we can solve for to find the dimensions of the prism:
90 = length x width
50 = height x width
45 = length x height
Solving for width in the first equation gives us:
width = 90 / length
Substituting this into the second equation gives us:
50 = height x (90 / length)
Solving for height gives us:
height = 50 x (length / 90) = (5/9) length
Substituting this into the third equation gives us:
45 = length x (5/9) length = (5/9) length²
Solving for length gives us:
length² = (9/5) x 45 = 81
length = √(81) = 9
Therefore, the rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).
To learn more about the area of a rectangle visit:
#SPJ1
The 2 4/5 rewritten as the improper fraction 14/5.
To rewrite 2 4/5 as an improper fraction, to convert the mixed number to a fraction.
First, multiply the whole number (2) by the denominator of the fraction (5) and add the numerator (4).
2 × 5 + 4 = 10 + 4 = 14
Next, write the sum as the numerator and keep the denominator unchanged:
14/5
To know more about fraction here
#SPJ6
Answer:
14/5
Step-by-step explanation:
multiply 5 by 2 then the answer of the is added to the numerator which would equal 14 the put 14 on top of 5